Solve for x g=y+c/x

$g = y + \frac{c}{x}$

Rewrite the equation as $y + \frac{c}{x} = g$ .

$y + \frac{c}{x} = g$

Subtract $y$ from both sides of the equation.

$\frac{c}{x} = g - y$

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$x, 1, 1$

The LCM of one and any expression is the expression.

$x$

Multiply each term in $\frac{c}{x} = g - y$ by $x$ to eliminate the fractions.

Multiply each term in $\frac{c}{x} = g - y$ by $x$ .

$\frac{c}{x} x = g x - y x$

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{c}{x} x = g x - y x$

Rewrite the expression.

$c = g x - y x$

Solve the equation.

Rewrite the equation as $g x - y x = c$ .

$g x - y x = c$

Factor $x$ out of $g x - y x$ .

Factor $x$ out of $g x$ .

$x g - y x = c$

Factor $x$ out of $- y x$ .

$x g + x (- y) = c$

Factor $x$ out of $x g + x (- y)$ .

$x (g - y) = c$

Divide each term in $x (g - y) = c$ by $g - y$ and simplify.

Divide each term in $x (g - y) = c$ by $g - y$ .

$\frac{x (g - y)}{g - y} = \frac{c}{g - y}$

Simplify the left side.

Cancel the common factor of $g - y$ .

Cancel the common factor.

$\frac{x (g - y)}{g - y} = \frac{c}{g - y}$

Divide $x$ by $1$ .

$x = \frac{c}{g - y}$